A388560 Decimal expansion of (1/4) * exp(Pi / 3) * Pi^(3/4) / Gamma(3/4)^3.

9, 1, 3, 5, 7, 2, 7, 6, 6, 2, 1, 8, 5, 5, 7, 8, 7, 2, 9, 3, 0, 9, 9, 7, 6, 0, 6, 9, 6, 9, 0, 2, 2, 8, 0, 8, 7, 9, 9, 9, 9, 4, 3, 8, 2, 0, 8, 0, 1, 3, 5, 8, 5, 3, 4, 6, 0, 5, 6, 9, 9, 8, 3, 3, 7, 1, 0, 3, 4, 7, 4, 6, 6, 8, 3, 0, 5, 4, 4, 9, 7, 9, 9, 3, 4, 3, 0

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A114855(k) / exp(k*Pi).

Example

0.91357276621855787293099760696902280880...

Mathematica

First[RealDigits[(Pi^(3/4)*Exp[Pi/3])/(4*Gamma[3/4]^3), 10, 100]]

Prog

(PARI) (1/4) * exp(Pi / 3) * Pi^(3/4) / gamma(3/4)^3

Crossrefs

Cf. A114855.

Sequence in context: A381695 A388674 A388862 * A388873 A388661 A388480

Adjacent sequences: A388557 A388558 A388559 * A388561 A388562 A388563

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved